In this worksheet, we will practice solving problems involving the average velocity in an nth second of a particle moving in a straight line.

**Q2: **

A particle is moving in a straight line accelerating uniformly at
1 m/s^{2}.
Given that its initial velocity was
21 m/s,
find its displacement during the
time interval between and
.

- A 246 m
- B 127.5 m
- C 80.75 m
- D 186 m

**Q3: **

A body, moving in a straight line, accelerated uniformly such that it covered 35.5 m in the second and 53.5 m in the one. Find the acceleration of the body and its initial velocity .

- A ,
- B ,
- C ,
- D ,

**Q4: **

A particle is moving in a straight line with an initial speed and a uniform acceleration . Express its average velocity during the , , and seconds in terms of and .

- A
- B
- C
- D

**Q5: **

A particle started moving in a straight line from rest. Accelerating uniformly, it covered 135 cm in the , , and seconds. Find its acceleration and the distance required for the particle to reach a velocity of 45 cm/s.

- A ,
- B ,
- C ,
- D ,

**Q6: **

A particle was moving in a straight line with a constant acceleration. Given that it covered 23 m in the seconds and 56.5 m in the and seconds, determine the particleβs acceleration and initial velocity .

- A ,
- B ,
- C ,
- D ,

**Q7: **

A particle started moving in a straight line.
Its initial velocity was
35 cm/s,
and it accelerated uniformly at
11.5 cm/s^{2}.
Find the distance covered by the particle in the
and
seconds.

**Q8: **

Near the surface of the moon, the distance that an object falls is a function of time. It is given by , where is in seconds and is in feet. An object is dropped and falls for at least 3 seconds. Calculate the average velocity of the object from to .

**Q10: **

A body, moving in a straight line, accelerated uniformly such that it covered 39.5 m in the second and 58.5 m in the one. Find the acceleration of the body and its initial velocity .

- A ,
- B ,
- C ,
- D ,

**Q11: **

A particle is moving in a straight line with an initial speed and a uniform acceleration . Express its average velocity during the , , and seconds in terms of and .

- A
- B
- C
- D

**Q12: **

A particle was moving in a straight line with a constant acceleration. Given that it covered 19.5 m in the seconds and 52.5 m in the and seconds, determine the particleβs acceleration and initial velocity .

- A ,
- B ,
- C ,
- D ,

**Q13: **

A particle started moving in a straight line.
Its initial velocity was
64.5 cm/s,
and it accelerated uniformly at
10 cm/s^{2}.
Find the distance covered by the particle in the
and
seconds.

**Q14: **

A particle is moving in a straight line accelerating uniformly at
4 m/s^{2}.
Given that its initial velocity was
7 m/s,
find its displacement during the
time interval between and
.

- A 129 m
- B 24 m
- C 28.5 m
- D 75 m

**Q15: **

A particle started moving in a straight line from rest. Accelerating uniformly, it covered 108 cm in the , , and seconds. Find its acceleration and the distance required for the particle to reach a velocity of 64 cm/s.

- A ,
- B ,
- C ,
- D ,